Local Spectral Radius Formulas on Compact Lie Groups

被引：0

作者：

Andersen, Nils Byrial ^{[1
]}

de Jeu, Marcel ^{[2
]}

机构：

[1] Alssundgymnasiet Sonderborg, DK-6400 Sonderborg, Denmark

[2] Leiden Univ, Math Inst, NL-2300 RA Leiden, Netherlands

来源：

JOURNAL OF LIE THEORY | 2009年 / 19卷 / 02期

关键词：

Compact Lie group; universal enveloping algebra; local spectrum; local spectral radius; local spectral radius formula;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We determine the local spectrum of a central element of the complexified universal enveloping algebra of a compact connected Lie group at a smooth function as an element of L-P(G). Based on this result we establish a corresponding local spectral radius formula.

引用

页码：223 / 230

页数：8

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